The basketball coach at a small local college believes that his team plays better and scores more points in front of larger crow
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Given a polynomial and a point
, we have that
We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of
Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be
To fix the correct value for a, we impose :
And so we must impose
So, the function we're looking for is
.
I converted it into decimal form with a calculator and got approximately 48.9898
And if you round that, you will get the 49, which fits the inequality of
45< < 50 since it becomes 45 < 49 < 50 which is true